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Finding the Fourth Proportional to 187.24, 280.86 and 123.40

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Solution

The fourth proportional to 187.24, 280.86 and 123.40 is: 185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.24 : 280.86 = 123.40 : x
  2. Step 2: Convert to fraction form
    187.24/280.86 = 123.40/x
  3. Step 3: Cross multiply
    187.24x = 280.86 × 123.40
  4. Step 4: Simplify right side
    187.24x = 34,658.12
  5. Step 5: Solve for x
    x = 34,658.12/187.24
  6. Step 6: Final answer
    x = 185.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.